Search a number
-
+
6514666464 = 253234171963
BaseRepresentation
bin1100001000100110…
…11110101111100000
3121211000111100100010
412010103132233200
5101320223311324
62554235524520
7320303515455
oct60423365740
917730440303
106514666464
1128433a5379
1213198b9740
137ca8b7737
1445b30182c
15281deb829
hex1844debe0

6514666464 has 96 divisors (see below), whose sum is σ = 18280007424. Its totient is φ = 2026449920.

The previous prime is 6514666463. The next prime is 6514666469. The reversal of 6514666464 is 4646664156.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6514666463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54547 + ... + 126509.

It is an arithmetic number, because the mean of its divisors is an integer number (190416744).

Almost surely, 26514666464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6514666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140003712).

6514666464 is an abundant number, since it is smaller than the sum of its proper divisors (11765340960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6514666464 is a wasteful number, since it uses less digits than its factorization.

6514666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72040 (or 72032 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 6514666464 is about 80713.4837805927. The cubic root of 6514666464 is about 1867.6581840134.

The spelling of 6514666464 in words is "six billion, five hundred fourteen million, six hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 15088 22632 30176 45264 71963 90528 143926 215889 287852 431778 575704 863556 1151408 1655149 1727112 2302816 2950483 3310298 3454224 4965447 5900966 6620596 6908448 8851449 9930894 11801932 13241192 17702898 19861788 23603864 26482384 35405796 39723576 47207728 52964768 67861109 70811592 79447152 94415456 135722218 141623184 158894304 203583327 271444436 283246368 407166654 542888872 814333308 1085777744 1628666616 2171555488 3257333232 6514666464